Characterization of the tangent space of monotone transport plans in ${\R}\times{\R}$ with prescribed first projection

Autor:	Sedjro, Marc, Westdickenberg, Michael
Rok vydání:	2014
Předmět:	Mathematics - Metric Geometry Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We provide a complete description of the tangent space of the cone of monotone plans in $\R\times \R$ with prescribed first projection. We show that elements of this tangent space are essentially made of two simple building-block types of measures.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1411.3836 Zobrazit plný text záznamu View this record from Arxiv